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Finding the Fourth Proportional to 259.92, 359.01 and 222.71

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Solution

The fourth proportional to 259.92, 359.01 and 222.71 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 359.01 = 222.71 : x
  2. Step 2: Convert to fraction form
    259.92/359.01 = 222.71/x
  3. Step 3: Cross multiply
    259.92x = 359.01 × 222.71
  4. Step 4: Simplify right side
    259.92x = 79,953.32
  5. Step 5: Solve for x
    x = 79,953.32/259.92
  6. Step 6: Final answer
    x = 307.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.